A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 519. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 526 with a standard deviation of 119. Complete parts (a) through (d) below. (d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 526 and the sample standard deviation is still 119. Is a sample mean of 526 significantly more than 519? Conduct a hypothesis test using the P-value approach. Find the test statistic. 6 =0 (Round to two decimal places as needed.)

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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of
the exam, scores are normally distributed with u = 519. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the
1800 students is 526 with a standard deviation of 119. Complete parts (a) through (d) below.
(d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 526 and the sample standard deviation is still 119. Is a sample mean of
526 significantly more than 519? Conduct a hypothesis test using the P-value approach.
Find the test statistic.
6 =0
(Round to two decimal places as needed.)
Transcribed Image Text:A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 519. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the 1800 students is 526 with a standard deviation of 119. Complete parts (a) through (d) below. (d) Test the hypothesis at the a = 0.10 level of significance with n = 375 students. Assume that the sample mean is still 526 and the sample standard deviation is still 119. Is a sample mean of 526 significantly more than 519? Conduct a hypothesis test using the P-value approach. Find the test statistic. 6 =0 (Round to two decimal places as needed.)
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